show 0.9999 in p/q form
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Step-by-step explanation:
9999/10000
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Question
Express 0.999 in p/q from where p and q are integers and q is not equal to zero .
Solution
0.9999...
Let "x" = 0.999...(eq.1)
multiply both the sides by 10 .
10x = 9.9999 ...(eq.2)
Now,
subtracting equation 1 and equation 2 we get ;
10x-x = 9.9999-0.9999
=> 9x = 9
=> x = 9/9
=> x = 1
Hence, the required answer is 1 .
Additional information ;
what is rational number ?
- the number which can be shown in the p/q form and p and q are integers and q is not equal to zero is known as rational number .
what is irrational number ?
- the number which cannot be shown in the p/q form where p and q are integers and q is not equal to zero is known as irrational number
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